(y+2)/(y+7)=11/31

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Solution for (y+2)/(y+7)=11/31 equation: 



(y+2)/(y+7)=11/31

We move all terms to the left:

(y+2)/(y+7)-(11/31)=0



Domain of the equation: (y+7)!=0

We move all terms containing y to the left, all other terms to the right

y!=-7

y∈R



We add all the numbers together, and all the variables

(y+2)/(y+7)-(+11/31)=0

We get rid of parentheses

(y+2)/(y+7)-11/31=0

We calculate fractions


(31y+62)/(31y+217)+(-11y-77)/(31y+217)=0

We multiply all the terms by the denominator


(31y+62)+(-11y-77)=0

We get rid of parentheses

31y-11y+62-77=0

We add all the numbers together, and all the variables

20y-15=0

We move all terms containing y to the left, all other terms to the right

20y=15

y=15/20

y=3/4

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